%0 Journal Article %A Shriprakash Sinha %T Sensitivity analysis of Wnt β-catenin based transcription complex might bolster power-logarithmic psychophysical law and reveal preserved gene gene interactions %D 2015 %R 10.1101/015834 %J bioRxiv %P 015834 %X Let a sensation magnitude γ be determined by a stimulus magnitude β. The Webers laws states that Δγ remains constant when the relative stimulus increment Δβ remains constant. It has been found that this law is actually a derivation of Bernoullis law were Δ γ ∝ log . Recently, such psychophysical laws have been observed in the behaviour of certain intra/extracellular factors working in the Wnt pathway and this manuscript tests the veracity of the prevalence of such laws, albeit at a coarse level, using sensitivity analysis on biologically inspired computational causal models. Sensitivity analysis plays a crucial role in observing the behaviour of output of a variable given variations in the input. Recently, it has been found that some factors of the Wnt signaling pathway show a natural behaviour that can often be characterized by psychophysical laws. In this work, the variation in the effect of the predictive behaviour of the transcription complex (TRCMPLX) conditional on the evidences of regulated gene expressions in normal and tumor samples is observed by varying the initially assigned values of conditional probability tables (cpt) for TRCMPLX. Preliminary analysis shows that the variation in predictive behaviour of TRCMPLX conditional on gene evidences follows power and logarithmic psychophysical law crudely, implying deviations in output are proportional to increasing function of deviations in input and shows constancy for higher values of input. This points towards stability in the behaviour of TRCMPLX and is reflected in the preserved gene gene interactions of the Wnt pathway inferred from conditional probabilities of individual gene activation given the status of another gene activation derived using biologically inspired Bayesian Network. The deviation in the predictive behaviour of gene activation conditional on the evidence of another regulated gene expression in normal and tumor samples was also observed by varying the initially assigned values of conditional probability tables (cpt) for β-catenin based transcription complex. Analysis shows that the deviation in predictive behaviour of gene activation conditional on another gene expression as evidence, follows power-logarithmic psychophysical law crudely. Finally, the computational observations indicate that not only individual factors but the gene-gene interactions in the interaction network might also exhibit psychophysical laws at some stage. Dynamic models of Bayesian networks might reveal the phenomena in a better way. %U https://www.biorxiv.org/content/biorxiv/early/2015/05/16/015834.full.pdf